Finite Group Databasebeta

← Group #13171944

Character table — Group #13171944

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666444444121212123666666666666244121212121212121212121212121212121212121212124444666612121212121212122244661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111111111-1-11111111111-1-1-1-1-1-1-111111-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-11-1-1-1-1111111-1-11111111111-1-1-1-111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1111-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1111-1-1-1-1-1-11-111
χ101111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-111-1-1111-11-111-1-11111-11-1-1
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-111-1-1-11-1-1-1-11111111-1-1-1
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1111
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-111-1
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111111111-1-1-1-11-111-1-111-11-1-1-1-11111-1-11-1-11
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-11-1-111-1-11-11-111-1-111-1-1-11-11
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1111-1-1-1-1111-11-1
χ17222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-12020000-1-1-1-1220022-1-1-1-1-1-1-1-100002-1-1-1-100000-1-1022000000000-1-100
χ18222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-1-20-20000-1-1-1-12200-2-2-1-1-1-1-1-1-1-10000-2111100000110-2-20000000001100
χ19222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-120200001111-2-200221111111100002-1-1-1-100000-1-10-2-20000000001100
χ20222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-200001111-2-200-2-2111111110000-211110000011022000000000-1-100
χ21222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-122-2-2002222-1-2-2-211-1-1-1111120-20000-1-111-2-200-2-2-1-1-1-1111100002-1-1-11000001102-2000000000-1100
χ22222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-122-2-2002222-1-2-2-211-1-1-11111-2020000-1-111-2-20022-1-1-1-111110000-2111-100000-1-10-220000000001-100
χ23222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111120-2000011-1-12200-2-21111-1-1-1-100002-1-1-1100000110-220000000001-100
χ24222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-202000011-1-12200221111-1-1-1-10000-2111-100000-1-102-2000000000-1100
χ2522222-1222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-102022-1-12222-1-1-1-100-1-1-1-1-1-1-1-12200000002-1-1-1-1002000-1-1-1-100000000
χ2622222-1222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-12222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-10-20-2-2112222-1-11100-1-1-1-1-1-1-1-1-2-20000000-2111100-2000111100000000
χ2722222-1222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2221111-12-1-122-1-1-1-1-1-1-102022-1-1-2-2-2-211-1-10011111111-2-200000002-1-1-1-100-2000111100000000
χ2822222-1222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-20-2-211-2-2-2-211110011111111220000000-21111002000-1-1-1-100000000
χ2922222-1222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-222-1-1-1-1-1-211-2-2-1-1-111110-20221122-2-211-1-100-1-1-1-11111-2-20000000-2-1-111002000-1-11100000000
χ3022222-1222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-2-2-2-1-1-1-1-1-211-2-2-1-1-11111020-2-2-1-122-2-2111100-1-1-1-11111220000000211-1-100-200011-1-100000000
χ3122222-1222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222221111-1-211-2-2-1-1-111110-202211-2-222-1-1-1-1001111-1-1-1-1220000000-2-1-11100-200011-1-100000000
χ3222222-1222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222-2-21111-1-211-2-2-1-1-11111020-2-2-1-1-2-222-1-111001111-1-1-1-1-2-20000000211-1-1002000-1-11100000000
χ332222-1222-122-1222-12-12-12222-1222222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12200000022-1-1000000000022-12-1-12-1-1-1-1-1-1-100020000-1-10000-10
χ342222-1222-122-1222-12-12-12222-1222222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-1-12200000022110000000000-2-21-211-2-1-1-1-1-111000-2000011000010
χ352222-1222-122-1222-12-12-12222-1222222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-2211-2-2000000-2-2-1-10000000000-2-2-12-1-1211111-1-1000-2000011000010
χ362222-1222-122-1222-12-12-12222-1222222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2000000-2-2110000000000221-211-2111111100020000-1-10000-10
χ372222-1222-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000220000-111111-1-1-111112-2-2-1-1-2-200000022110000000000-2-2-12-1-1-21-1-1111100020000110000-10
χ382222-1222-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000220000-111111-1-1-11111-2-22-1-1-2-200000022-1-10000000000221-21121-1-111-1-1000-20000-1-1000010
χ392222-1222-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-1111122-21122000000-2-211000000000022-12-1-1-2-111-1-111000-20000-1-1000010
χ402222-1222-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-11111-2221122000000-2-2-1-10000000000-2-21-2112-111-1-1-1-100020000110000-10
χ4122-2-2222-22-22-22-2-2-202220000-2-2-200002-22-2-222-2000022-2-22000002-2-2000000000002-20000000022-2-20000002i−2i000000000000000000002i−2i2i−2i0000
χ4222-2-2222-22-22-22-2-2-202220000-2-2-200002-22-2-222-2000022-2-22000002-2-2000000000002-20000000022-2-2000000−2i2i00000000000000000000−2i2i−2i2i0000
χ4322-2-2222-22-22-22-2-2-202220000-2-2-200002-22-2-22-220000-2-2222000002-2-200000000000-2200000000-2-2220000002i−2i000000000000000000002i−2i−2i2i0000
χ4422-2-2222-22-22-22-2-2-202220000-2-2-200002-22-2-22-220000-2-2222000002-2-200000000000-2200000000-2-222000000−2i2i00000000000000000000−2i2i2i−2i0000
χ452-22-22222-2-2-22-22-2-20222000022-20000-22-2-2-2-2002i−2i2i−2i0000200000-22-200000002i−2i00002i−2i2i−2i2i−2i0000002i2i−2i−2i2-2000000002i−2i00000000002-200000000
χ462-22-22222-2-2-22-22-2-20222000022-20000-22-2-2-2-2002i−2i−2i2i0000200000-22-20000000−2i2i00002i−2i2i−2i−2i2i0000002i2i−2i−2i-2200000000−2i2i0000000000-2200000000
χ472-22-22222-2-2-22-22-2-20222000022-20000-22-2-2-2-200−2i2i2i−2i0000200000-22-200000002i−2i0000−2i2i−2i2i2i−2i000000−2i−2i2i2i-22000000002i−2i0000000000-2200000000
χ482-22-22222-2-2-22-22-2-20222000022-20000-22-2-2-2-200−2i2i−2i2i0000200000-22-20000000−2i2i0000−2i2i−2i2i−2i2i000000−2i−2i2i2i2-200000000−2i2i00000000002-200000000
χ492-22-22-122-21-221-1-2-20-1-12−i3i300-1-11−i3−i3i3i3-2211-21002i−2i2i−2i3−33−3-10−i3i3001-11−i3−i3i3i30002i−2i3−3002i−2i−ii−ii003−33−3−i−iii2-200000000−ii3−3000000−i3i3-1100000000
χ502-22-22-122-21-221-1-2-20-1-12−i3i300-1-11−i3−i3i3i3-2211-21002i−2i−2i2i3−33−3-10−i3i3001-11−i3−i3i3i3000−2i2i−33002i−2i−iii−i003−33−3−i−iii-2200000000i−i−33000000i3−i31-100000000
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χ552-22-22-122-21-221-1-2-20-1-12i3−i300-1-11i3i3−i3−i3-2211-2100−2i2i2i−2i3−33−3-10i3−i3001-11i3i3−i3−i30002i−2i−3300−2i2ii−i−ii003−33−3ii−i−i-2200000000−ii−33000000−i3i31-100000000
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χ5744444-2-2-24-2-24-2-2-244-21-2-2-2-2-2-2111111-2-2-2-2-21444400-2-2-2-214-2-2-2-211111110000000-2-2-2-2-2-200001111111100000000000000000000000000000000
χ5844444-2-2-24-2-24-2-2-244-21-2-2-2-2-2-2111111-2-2-2-2-21-4-4-4-400222214-2-2-2-2111111100000002222220000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ5944444-2-2-24-2-24-2-2-24-4-21-22222-211-1-1-1-1-2-2-2-2-2144-4-400-2-2-2-21-42222111-1-1-1-10000000-2-2222200001111-1-1-1-100000000000000000000000000000000
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χ1024-4-44-24-222422-4-4-2-20-2-2100−2i32i322-2−2i32i32i3−2i3-1-12-21200000000001000i3−i3-1-11i3−i3−i3i3000000000000000−2i32i3000000000000003-3000000i3−i30000000000000000
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χ1054-4-44-24-222422-4-4-2-20-2-21002i3−2i322-22i3−2i3−2i32i3-1-12-21200000000001000−i3i3-1-11−i3i3i3−i30000000000000002i3−2i3000000000000003-3000000−i3i30000000000000000
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χ10888-8-8-48-44-4-8-448-8440-4-42000044400002-2-44-2-400000000002000002-2-20000000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-444-44444-4-40222004i3−4i3-2-22−2i32i32i3−2i3-2-2-222-20000000000-1000−2i32i311-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).